PART WHOLE
Definition Of Part-Whole
Part-Whole is a ratio or a fraction that represents a relationship between a part and its whole.
Examples of Part-Whole
Suppose a bag contains 4 apples , 8 bananas, and 12 apricots. Then the part-whole ratio of apples is 
, the part-whole ratio of bananas is 
, and the part-whole ratio of apricots is 
.
Video Examples: Part Part Whole Fact Family Example
Solved Example on Part-Whole
Ques: A box contains red, white, and black balls in the ratio of 1: 3: 4. What is the part-whole ratio of white balls in the box, if the total number of balls is 56?
Choices:
A. 
B. 
C. 
D. 
Correct Answer: A
Solution:
Step 1: The total number of the balls is 56, and the ratio of the red, white, and black balls in the box is 1: 3: 4.
Step 2: Then the number of white balls in the box = × 56 = 21.
Step 3: Therefore, the part-whole ratio of white balls = 
= 
= .
Quick Summary
- Part-whole ratios express the proportion of a specific part to the entire quantity.
- The whole is the sum of all the parts.
- Part-whole ratios can be simplified like fractions.
🍎 Teacher Insights
Use visual aids like pie charts or bar models to illustrate part-whole relationships. Emphasize real-world examples, such as the proportion of students who prefer a certain subject in class.🎓 Prerequisites
- Fractions
- Ratios
- Basic Arithmetic
Check Your Knowledge
Q1: A pizza is cut into 8 slices. John eats 3 slices. What is the part-whole ratio of slices John ate to the whole pizza?
Q2: In a class of 25 students, 10 are boys. What is the part-whole ratio of boys in the class?
Frequently Asked Questions
Q: How do I identify the 'part' and the 'whole' in a problem?
A: The 'part' is the specific subset you're interested in, while the 'whole' is the total amount or quantity that includes the part.
Q: Can a part-whole ratio be greater than 1?
A: No, because the 'part' cannot be greater than the 'whole'. A part-whole ratio should always be less than or equal to 1.